Finding the Third Proportional to 140,865 and 332,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,865 : 332,194.50 = 332,194.50 : x
2. Step 2: Convert to fraction form
   140,865/332,194.50 = 332,194.50/x
3. Step 3: Cross multiply
   140,865x = 332,194.50 × 332,194.50
4. Step 4: Simplify right side
   140,865x = 110,353,185,830.25
5. Step 5: Solve for x
   x = 110,353,185,830.25/140,865
6. Step 6: Final answer
   x = 783,396.77